Which of the following points is a solution to the linear inequality y > 1/9x - 2/9?
A. (0, -2/9)
B. (0, -1/9)
C. (0, -1/3)
D. (0, -4/9)
To determine whether a point is a solution to the inequality, substitute the values of x and y into the inequality and check if the inequality is true.
Let's check each option:
A. (0, -2/9)
Substitute x = 0 and y = -2/9 into the inequality:
-2/9 > 1/9(0) - 2/9
-2/9 > -2/9
The inequality is true since -2/9 is greater than -2/9. So, point (0, -2/9) is a solution.
B. (0, -1/9)
Substitute x = 0 and y = -1/9 into the inequality:
-1/9 > 1/9(0) - 2/9
-1/9 > -2/9
The inequality is true since -1/9 is greater than -2/9. So, point (0, -1/9) is a solution.
C. (0, -1/3)
Substitute x = 0 and y = -1/3 into the inequality:
-1/3 > 1/9(0) - 2/9
-1/3 > -2/9
The inequality is not true since -1/3 is not greater than -2/9. So, point (0, -1/3) is not a solution.
D. (0, -4/9)
Substitute x = 0 and y = -4/9 into the inequality:
-4/9 > 1/9(0) - 2/9
-4/9 > -2/9
The inequality is true since -4/9 is greater than -2/9. So, point (0, -4/9) is a solution.
Therefore, the solutions are:
A. (0, -2/9)
B. (0, -1/9)
D. (0, -4/9)